Music and the Making of Modern Science
12 Chapter 1 Figure 1.1 Images of the founders of music from Francinus Gaffurius, Theorica musicae (1492): Jubal, from the Bible ...
Music and the Origins of Ancient Science 13 the great Alexandrian astronomer and music theorist Claudius Ptolemy (second century ...
14 Chapter 1 which all the other numbers came. For Philolaus, the One was cosmologically as well as metaphysically central: “ Th ...
Music and the Origins of Ancient Science 15 counts as one and what as two. Thus, though a child can parrot counting numbers, und ...
16 Chapter 1 terse contradiction emerges if one assumes hypothetically that such a ratio could be found, for if so, the “ number ...
Music and the Origins of Ancient Science 17 fractions, which he does seem to have heard of: “ For you surely know that if someon ...
18 Chapter 1 Nevertheless, the Greek theorists found a way to include geometric proportion in music by introducing a harmonic me ...
Music and the Origins of Ancient Science 19 Greatest ” ), synthesized the observational data of Babylonian, Egyptian, and Greek ...
20 Chapter 1 Thus, a continuous line of quadrivial studies goes all the way from Plato to about the eighteenth century, in the s ...
For two centuries after he wrote it, Boethius ’ s treatise on music was unavailable, seemingly lost in the “ dark ages. ” Beginn ...
22 Chapter 2 repeatability that he phrased in musical terms. In this, differences between arithmetic and geometry, music ’ s sis ...
Figure 2.1 An illuminated page from Oresme ’ s Le Livre du ciel et du monde (1377, fol. 3r), showing God raising his right hand ...
24 Chapter 2 still danced in church on special occasions.^6 Oresme presents a convincing account of this view, including the arg ...
The Dream of Oresme 25 the verse from the Psalms seems disingenuous, given his own dismissal of literal appeals to figurative la ...
26 Chapter 2 Figure 2.2 Oresme ’ s diagram of the principal musical ratios, from Le Livre du ciel et du monde (1377, fol. 125v). ...
The Dream of Oresme 27 Table 2.1 Oresme ’ s diagram. 1 2 4 8 16 32 3 6 12 24 48 9 18 36 27 54 108 81 243 729 possibilities, Ores ...
28 Chapter 2 associated with a high pitch. Moving inward from it, the planets closer to Earth should then have successively lowe ...
The Dream of Oresme 29 controversy) yet still asks “ why did you make the very nature of men such that they desire to know, and ...
30 Chapter 2 Though Geometry does not really address the troubling sensual displeasure produced by irrational proportions, she i ...
The Dream of Oresme 31 ciel ) that he strongly held to the inaudibility of cosmic harmonies, which put him on Geometry ’ s side ...
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